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OTC 7L 5s
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Omnitetrachordal MOS scale
7L+5s
12 tones (5+2+5)
MOS of the
meantone
and
flattone
temperaments (slightly flat 3/2).
Imperfect
, but very usable at any L/s ratio. Many modes may be pentachordally split in two ways.
P
= 0.7936402416
Q
= 6.0713810872 (4/3 = 3L+1.5s)
L = 100.00 to 171.43 cents (153.38 cents @ Q)
s = 0.00 to 100.00 cents (25.26 cents @ Q)
9/8 = L+s (171.43 to 200.00 cents)
4/3 = 3L+2s (500.00 to 514.29 cents)
generator = 4/3
notable EDOs: 19, 26, 31, 33, 43, 45, 50, etc.
all modes:
sLLsL sL sLLsL
LLsLs Ls LLsLs
Ls LsLsL LsLsL
LsLsL sL LsLsL
sL sLsLL sLsLL
Ls LsLLs LsLLs
LsLsL LsLsL Ls
sL sLLsL sLLsL
sLsLL sLsLL sL
Ls LLsLs LLsLs
LsLLs LsLLs Ls
sL LsLsL LsLsL
sLLsL sLLsL sL
LLsLs LLsLs Ls
LsLsL Ls LsLsL
LsLsL LsLsL sL
sLsLL sL sLsLL
LsLLs Ls LsLLs
See also
Omnitetrachordality
Gallery of omnitetrachordal scales
References
Noted as omnitetrachordal by Paul Erlich no later than 2002. See tuning-math list messages
3685
and
10987
.
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7L+5s
12 tones (5+2+5)
MOS of the meantone and flattone temperaments (slightly flat 3/2). Imperfect, but very usable at any L/s ratio. Many modes may be pentachordally split in two ways.
P = 0.7936402416
Q = 6.0713810872 (4/3 = 3L+1.5s)
L = 100.00 to 171.43 cents (153.38 cents @ Q)
s = 0.00 to 100.00 cents (25.26 cents @ Q)
9/8 = L+s (171.43 to 200.00 cents)
4/3 = 3L+2s (500.00 to 514.29 cents)
generator = 4/3
notable EDOs: 19, 26, 31, 33, 43, 45, 50, etc.
all modes:
See also
References